[1]徐兴磊,徐世民,王帅,等.Wehrl熵表征介观生物细胞量子效应的研究[J].南京师大学报(自然科学版),2008,31(02):54-58.
 Xu Xinglei,Xu Shimin,Wang Shuai.Research on the Denotation of the Quantum Effects for a Mesoscopic Biological Cell by Wehrl Entropy[J].Journal of Nanjing Normal University(Natural Science Edition),2008,31(02):54-58.
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Wehrl熵表征介观生物细胞量子效应的研究()
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《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

卷:
第31卷
期数:
2008年02期
页码:
54-58
栏目:
物理学
出版日期:
2008-06-30

文章信息/Info

Title:
Research on the Denotation of the Quantum Effects for a Mesoscopic Biological Cell by Wehrl Entropy
作者:
徐兴磊;徐世民;王帅;
菏泽学院物理系, 量子信息与计算重点实验室, 山东菏泽274015
Author(s):
Xu XingleiXu ShiminWang Shuai
Department of Physics,Key Laboratory of Quantum Communication and Calculation,Heze College,Heze 274015,China
关键词:
Wehrl熵 热谐振子 介观生物细胞 量子涨落
Keywords:
W ehrl entropy therm a l harm onic osc illa to r m eso scop ic b io log ical ce ll quantum fluctuation
分类号:
O413.1
摘要:
借助信息测量理论中的Wehrl熵,研究热场中谐振子系统的Wehrl熵.将介观生物细胞等效成热谐振子,研究热场中Wehrl熵和介观生物细胞量子效应的关系.结果表明,Wehrl熵不仅和谐振子的本征频率有关,而且与热场温度有关;生物细胞等效电路中电流和电压的量子涨落及相应不确定关系随Wehrl熵增加而增加,随Wehrl熵减小而减小;Wehrl熵是表征介观生物细胞量子效应的最好度量.
Abstract:
By using the in fo rm ation-theo re tic Wehrl en tropy, theW ehrl entropy of a harm onic o sc illator is obta ined in therma l fie ld. Them esoscop ic b io log ica l ce ll is equ iva lent w ith the therm al harm onic o sc illato r. The re lation between the W ehrl en tropy and the quantum effects o fm esoscop ic b io log ical ce ll is studied in therm a l field. These resu lts show that theW ehrl en tropy is related not on ly to the engen frequency, but also to the tem pera ture. And the quantum fluc tuation and the correspond ing uncertain ty re lation o f current and vo ltag e g row w ith increas ing the W ehr l entropy and becom e sm a llw ith decreasing theW ehrl en tropy. So theW ehrl entropy is regarded as a best m easurem ent of the quantum effec ts o fm eso scop ic b io log ical ce ll equiva lent c ircuit.

参考文献/References:

[ 1] Shannon C E, W eave rW. TheM a them atical Theory o f Commun ica tion [M ]. Urbana: TheUn iversity of I llino Press, 1963: 1-160.
[ 2] V accaro J A, Orlowsk.i A phase properties of Kerrm ed ia v ia va riance and entropy as of uncerta inty[ J]. J Phys RevA, 1995,51( 5): 4 172-4 180.
[ 3] Lou isellW H. Quantum Statistical Properties o f Rad ia tion[M ]. N ewYork: JohnW iley, 1973: 230-268.
[ 4] W ang J S, Feng J, ZhanM S. Quantum fluctuations o f anon-dissipative mesoscop ic inductance coup ling c ircuit in a displaced squeezed Fock sta te[ J]. Phys Lett A, 2001, 281: 341-346.
[ 5] Xu X L, LiH Q, W ang J S. The quantum fluc tuations o f m esoscopic dam ped mutual capac itance coup led double resonance RLC c ircuit in exc itation state o f the squeezed vacuum state[ J] . Int J of Theo r Phy s, 2006, 45( 12): 2 517-2 528.
[ 6] Xu X L, LiH Q, W ang J S. Quantum fluc tuations of m esoscop ic dam ped double resonance RLC c ircuit w ith m utual capacitance-inductance coup ling in therm a l exc itation state[ J]. Ch in Phys, 2007, 16( 8): 2 462-2 470.
[ 7] Xu X L, Li H Q, W ang J S. Quantum fluc tuations of m esoscopic RLC c ircuit invo lv ing comp licated coup ling in therm al
squeezed sta te[ J] . Phy sica B: CondensedM atter, 2007, 396( 1 /2): 199-206.
[ 8] Fan H Y, L iang X T. Quantum fluctuation in therm a l vaccuum state form eso scop ic LC e lectr ic circu it[ J]. Chin Phys Lett,2000, 17( 3): 174-176.
[ 9] 韩玖荣, 姜玉梅, 李淑玲, 等. 介观生物细胞等效电路的量子化[ J]. 量子电子学报, 2003, 20( 2): 198-202.
[ 10] 李洪奇. 有限温度下生物细胞中电流电压的量子涨落[ J]. 光电子激光, 2005, 16( 6): 757-760.
[ 11] Arlen Anderson, Jonathan J H a lliwe l.l In fo rm ation-theo re tic m easure o f uncerta inty due to quantum and therm a l fluctuations[ J]. Phys Rev D,1993,48( 6): 2 753-2 765.
[ 12] 范洪义. 量子力学表象与变换论[M ]. 上海: 上海科学技术出版社, 1997: 43-323.
[ 13] W ehr lA. Genera l properties of entropy[ J]. RevM od Phys, 1978, 50( 2): 221-260.
[ 14] H usim iK. Some form a l properties o f the density m atr iX [ J]. Proc PhysM a th Soc Japan, 1940, 22: 264-314.
[15] Cohen-Tannoud ji C, D iu B, Frank La lo. Quantum M echan ics[M ] . H erm ann: W iley, 1977: 481-508.

备注/Memo

备注/Memo:
基金项目: 菏泽学院自然科学基金(XY07WL01 ), 山东省高等学校实验技术( S04W138)资助项目.
通讯联系人: 徐兴磊, 副教授, 研究方向: 介观物理量子效应与ISP技术应用. E-m ail: xxlwlx@ 126. com.
更新日期/Last Update: 2013-05-05